a vector is inclined at 45 degree North of east
so here we can say
[tex]\hat r = cos45 \hat i + sin45 \hat j[/tex]
here we can say that
East direction is along x direction
North direction is along Y direction
so here the given direction in vector form as
[tex]\hat r = \frac{1}{\sqrt2}(\hat i + \hat j)[/tex]
so here the given direction is in vector form shown as above
